116617 has 4 divisors (see below), whose sum is σ = 117316. Its totient is φ = 115920.

The previous prime is 116593. The next prime is 116639. The reversal of 116617 is 716611.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 109561 = 84^2 + 331^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-116617 is a prime.

It is a Duffinian number.

116617 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (116657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (29329).

2¹¹⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

116617 is a deficient number, since it is larger than the sum of its proper divisors (699).

116617 is an equidigital number, since it uses as much as digits as its factorization.

116617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its digits is 252, while the sum is 22.

The square root of 116617 is about 341.4923132371. The cubic root of 116617 is about 48.8563053853.

The spelling of 116617 in words is "one hundred sixteen thousand, six hundred seventeen".